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10121011998534 = 235156723775591
BaseRepresentation
bin1001001101000111101101…
…0100110010111101000110
31022211120002201122201100000
42103101323110302331012
52311310313032423114
633305310112102130
72063135053352613
oct223217324627506
938746081581300
1010121011998534
11325232a467668
12117562a534946
1358553abc1198
1426dc06a2750a
1512840db99e09
hex9347b532f46

10121011998534 has 96 divisors (see below), whose sum is σ = 22769196742656. Its totient is φ = 3369496553280.

The previous prime is 10121011998533. The next prime is 10121011998553. The reversal of 10121011998534 is 43589911012101.

10121011998534 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 10 + 1 + 19 + 98 + 534 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10121011998534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121011998533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1810230079 + ... + 1810235669.

It is an arithmetic number, because the mean of its divisors is an integer number (237179132736).

Almost surely, 210121011998534 is an apocalyptic number.

10121011998534 is an abundant number, since it is smaller than the sum of its proper divisors (12648184744122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10121011998534 is a wasteful number, since it uses less digits than its factorization.

10121011998534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552 (or 9540 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 10121011998534 in words is "ten trillion, one hundred twenty-one billion, eleven million, nine hundred ninety-eight thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1567 2377 3134 4701 4754 5591 7131 9402 11182 14103 14262 16773 21393 28206 33546 42309 42786 50319 64179 84618 100638 126927 128358 150957 192537 253854 301914 380781 385074 452871 577611 761562 905742 1155222 1358613 2717226 3724759 7449518 8761097 11174277 13289807 17522194 22348554 26283291 26579614 33522831 39869421 52566582 67045662 78849873 79738842 100568493 119608263 157699746 201136986 236549619 239216526 301705479 358824789 473099238 603410958 709648857 717649578 905116437 1076474367 1419297714 1810232874 2128946571 2152948734 3229423101 4257893142 6458846202 20825127569 41650255138 62475382707 124950765414 187426148121 374852296242 562278444363 1124556888726 1686835333089 3373670666178 5060505999267 10121011998534